![image](https://tex.z-dn.net/?f=log_%7B0%2C1%7D%287x%2B3%29%3E-1%5Cquad+OOF%3A%5C%3B+x%3E-%5Cfrac%7B3%7D%7B7%7D%5C%5C%5C%5C-log_%7B10%7D%287x%2B3%29%3E-1%5C%5C%5C%5Clg%287x%2B3%29%3C1%2C%5Cquad+1%3Dlg10%5C%5C%5C%5C7x%2B3%3C10%5C%5C%5C%5C7x%3C7%5C%5C%5C%5Cx%3C1%5C%5C%5C%5COtvet%3A%5C%3B+-%5Cfrac%7B3%7D%7B7%7D%3Cx%3C1)
-1\quad OOF:\; x>-\frac{3}{7}\\\\-log_{10}(7x+3)>-1\\\\lg(7x+3)<1,\quad 1=lg10\\\\7x+3<10\\\\7x<7\\\\x<1\\\\Otvet:\; -\frac{3}{7}<x<1" alt="log_{0,1}(7x+3)>-1\quad OOF:\; x>-\frac{3}{7}\\\\-log_{10}(7x+3)>-1\\\\lg(7x+3)<1,\quad 1=lg10\\\\7x+3<10\\\\7x<7\\\\x<1\\\\Otvet:\; -\frac{3}{7}<x<1" align="absmiddle" class="latex-formula">